math

Katrina is studying the effect of foreign substances on bacteria populations. If she introduces a
beneficial substance, such as food, the bacteria population grows. If she introduces a harmful substance,
such as a poison, the bacteria population decreases. The function
f(x) = x4 - 20x3 + 141x2 - 414x+ 432, where x is the time in days, models the bacteria population rate of growth or decrease over time. Determine when the bacteria's population was
increasing.

b) Describe the bacteria population between days 3 and 6. Explain what positive, negative, and values of 0
mean in this situation.

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